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Finding the Third Proportional to 9,682 and 11,410

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Solution

The third proportional to 9,682 and 11,410 is: 13,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682 : 11,410 = 11,410 : x
  2. Step 2: Convert to fraction form
    9,682/11,410 = 11,410/x
  3. Step 3: Cross multiply
    9,682x = 11,410 × 11,410
  4. Step 4: Simplify right side
    9,682x = 130,188,100
  5. Step 5: Solve for x
    x = 130,188,100/9,682
  6. Step 6: Final answer
    x = 13,446.41

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.